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arXiv · 1312.1835

Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains

A. V. Sobolev
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Abstract

We prove a two-term quasi-classical trace asymptotic formula for the functions of multi-dimensional Wiener-Hopf operators with discontinuous symbols. The discontinuities occur on the surfaces which are assumed to be piece-wise smooth. Such a two-term formula was conjectured by H. Widom in 1982, and proved by A. V Sobolev for smooth surfaces in 2009.

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BibTeXRIS

A. V. Sobolev. 2013-12-06. Wiener-Hopf operators in higher dimensions: the Widom conjecture for piece-wise smooth domains. https://doi.org/10.1007/s00020-014-2185-2

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